A generic algebra associated to certain Hecke algebras.
From MaRDI portal
Publication:1882983
DOI10.1016/j.jalgebra.2004.04.007zbMath1072.20005arXivmath/0305239OpenAlexW2008348960MaRDI QIDQ1882983
Karin Erdmann, Stephen R. Doty, Anne Henke
Publication date: 1 October 2004
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0305239
Schur algebrassymmetric groupsirreducible representationsSchur-Weyl dualitypermutation modulesendomorphism algebrascellularityinduced modulesIwahori-Hecke algebrasgeneric algebrasintertwining spacesPBW-bases
Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Universal enveloping (super)algebras (17B35)
Related Items
Schur algebras of classical groups. ⋮ Endomorphism rings of permutation modules over maximal Young subgroups. ⋮ The rational Schur algebra ⋮ On the affine Schur algebra of type \(A\). II. ⋮ Endomorphism algebras of 2-row permutation modules in characteristic 3
Cites Work
- Combinatorics and the Schur algebra
- A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
- On Schur algebras and related algebras. I
- On Schur algebras and related algebras. II
- The system of idempotents and the lattice of \({\mathcal J}\)-classes of reductive algebraic monoids
- Polynomial representations of \(GL_n\)
- Modular symmetric functions and irreducible modular representations of general linear groups
- On the modular representations of the general linear and symmetric groups
- A characteristic free approach to invariant theory
- The representation theory of the symmetric groups
- Cyclotomic \(q\)-Schur algebras
- On tilting modules for algebraic groups
- Resolutions of \(B\) modules
- \(q\)-Schur algebras, asymptotic forms, and quantum \(SL_ n\)
- Cellular algebras
- Canonical Bases Arising from Quantized Enveloping Algebras
- Representation Theory of Reductive Normal Algebraic Monoids
- Completions of cellular algebras
- Presenting generalized 𝑞-Schur algebras
- Introduction to quantum groups
- Double centralizer properties, dominant dimension, and tilting modules
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item